Finding the Third Proportional to 50,892 and 103,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,892 : 103,153.50 = 103,153.50 : x
2. Step 2: Convert to fraction form
   50,892/103,153.50 = 103,153.50/x
3. Step 3: Cross multiply
   50,892x = 103,153.50 × 103,153.50
4. Step 4: Simplify right side
   50,892x = 10,640,644,562.25
5. Step 5: Solve for x
   x = 10,640,644,562.25/50,892
6. Step 6: Final answer
   x = 209,082.85